Solve -3(w+5)=-3(6w-1)+3w

$$- 3 ( w + 5 ) = - 3 ( 6 w - 1 ) + 3 w$$

Solve for w

$$w = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by w+5.

$$-3w-15=-3\left(6w-1\right)+3w$$

Use the distributive property to multiply -3 by 6w-1.

$$-3w-15=-18w+3+3w$$

Combine -18w and 3w to get -15w.

$$-3w-15=-15w+3$$

Add 15w to both sides.

$$-3w-15+15w=3$$

Combine -3w and 15w to get 12w.

$$12w-15=3$$

Add 15 to both sides.

$$12w=3+15$$

Add 3 and 15 to get 18.

$$12w=18$$

Divide both sides by 12.

$$w=\frac{18}{12}$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$w=\frac{3}{2}$$